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Simplifying 2(3x + 1) + -5(2x + -3) = 0 Reorder the terms: 2(1 + 3x) + -5(2x + -3) = 0 (1 * 2 + 3x * 2) + -5(2x + -3) = 0 (2 + 6x) + -5(2x + -3) = 0 Reorder the terms: 2 + 6x + -5(-3 + 2x) = 0 2 + 6x + (-3 * -5 + 2x * -5) = 0 2 + 6x + (15 + -10x) = 0 Reorder the terms: 2 + 15 + 6x + -10x = 0 Combine like terms: 2 + 15 = 17 17 + 6x + -10x = 0 Combine like terms: 6x + -10x = -4x 17 + -4x = 0 Solving 17 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4x = 0 + -17 -4x = 0 + -17 Combine like terms: 0 + -17 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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